Adding a Single Pole switch coming drawing power from 3 way switch

Hello, i am conrrently adding a bathroom in my basement, any how i have added a plug receptical and i have install the light to the switch, but not connected it to a power source yet, what i am hoping i can do is draw power from my 3 way switch, for my light in the bathroom. I am not sure if i can do this, and if i can how would i connect it?

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It's not likely at all that you can do that. You'd have available two runners at the far switch, so the new outlet would go on and off with the light even if there was a nuteral available, which there isn't likely to be. Sorry!